Year 9 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific NotationYear 9 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x10 ÷ x5
Answer: x5
Subtract the indices: 10 − 5 = 5
2.Simplify: x2 × x6
Answer: x8
Add the indices: 2 + 6 = 8
3.Simplify: x8 ÷ x7
Answer: x1
Subtract the indices: 8 − 7 = 1
4.Simplify: x9 ÷ x2
Answer: x7
Subtract the indices: 9 − 2 = 7
5.Simplify: x4 × x4
Answer: x8
Add the indices: 4 + 4 = 8
6.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
7.Simplify: x2 × x9
Answer: x11
Add the indices: 2 + 9 = 11
8.Simplify: x3 × x6
Answer: x9
Add the indices: 3 + 6 = 9
9.Simplify: x2 × x2
Answer: x4
Add the indices: 2 + 2 = 4
10.Simplify: x8 × x9
Answer: x17
Add the indices: 8 + 9 = 17
11.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
12.Simplify: x9 × x4
Answer: x13
Add the indices: 9 + 4 = 13
13.Simplify: x7 × x8
Answer: x15
Add the indices: 7 + 8 = 15
14.Simplify: x5 × x7
Answer: x12
Add the indices: 5 + 7 = 12
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